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Finding the Fourth Proportional to 137.38, 189.30 and 102.34

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Solution

The fourth proportional to 137.38, 189.30 and 102.34 is: 141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.38 : 189.30 = 102.34 : x
  2. Step 2: Convert to fraction form
    137.38/189.30 = 102.34/x
  3. Step 3: Cross multiply
    137.38x = 189.30 × 102.34
  4. Step 4: Simplify right side
    137.38x = 19,372.96
  5. Step 5: Solve for x
    x = 19,372.96/137.38
  6. Step 6: Final answer
    x = 141.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.